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2 years ago

Find the 10th term in each sequence 40, 10, 5/2, 5/8,...

Mathematics

1 answer:

Nata [24]2 years ago

8 0

9514 1404 393

Answer:

5/32768

Step-by-step explanation:

This sequence does not have a common difference, but does have a common ratio of r = 10/40 = 1/4. The first term is a1 = 40.

The general term of a geometric sequence is ...

an = a1·r^(n-1)

Then the 10th term is ...

a10 = 40·(1/4)^(10 -1) = 40/4^9 = 5/32768

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In its monthly report, the local animal shelter states that it currently has 24 dogs and 18 cats available for adoption. Eight o

andrezito [222]

Answer with Step-by-step explanation:

We are given that

Total dogs=24

Total cats=18

Total animals=24+18=42

Male dogs=8

Male cats=6

Total male animals=8+6=14

Total female animals=42-14=28

Female cats=18-6=12

Dogs female=24-8=16

a.We have to find the probability that the pet is male, given that it is cat.

It means we have to find P(Male/cat)

Conditional probability: $P(A/B)=\frac{P(A\cap B)}{P(B)}$

P(Cat)= $\frac{18}{42}$

$P(male cat)=\frac{6}{42}$

$P(Male/cat)=\frac{\frac{6}{42}}{\frac{18}{42}}$

P(male/cat)= $\frac{6}{18}=0.33$

b. $P(female cat)=\frac{12}{42}$

$P(female)=\frac{28}{42}$

$P(Cat/Female)=\frac{\frac{12}{42}}{\frac{28}{42}}=\frac{12}{28}=0.43$

c.P(Dog)= $\frac{24}{42}$

$P(dog female)=\frac{16}{42}$

$P(female/dog)=\frac{\frac{16}{42}}{\frac{24}{42}}$

$P(female/dog)=\frac{16}{24}=0.67$

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2 years ago

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What is the simplified expression for Negative 3 (2 x minus y) + 2 y + 2 (x + y)?

Lana71 [14]

Answer:

$7y - 4x$

Step-by-step explanation:

$-3 (2x-y)+2y+2(x+y)\\$

Step 1: Open the brackets

$= -6x+3y +2y +2(x+y)\\=-6x +3y + 2y +2x + 2y$

Step 2: Bring the similar variables together

$=-6x +2x \ +3y + 2y + 2y$

Step 3: Simplify by adding/subtracting the coefficients of the similar variables

$= - 4x +7y$

Step 4: Rearrange as required.

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3 years ago

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lana66690 [7]

Answer:

Step-by-step explanation:

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2 years ago